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Simplifying 9(4w + 6) + -3(3w + -5) = 0 Reorder the terms: 9(6 + 4w) + -3(3w + -5) = 0 (6 * 9 + 4w * 9) + -3(3w + -5) = 0 (54 + 36w) + -3(3w + -5) = 0 Reorder the terms: 54 + 36w + -3(-5 + 3w) = 0 54 + 36w + (-5 * -3 + 3w * -3) = 0 54 + 36w + (15 + -9w) = 0 Reorder the terms: 54 + 15 + 36w + -9w = 0 Combine like terms: 54 + 15 = 69 69 + 36w + -9w = 0 Combine like terms: 36w + -9w = 27w 69 + 27w = 0 Solving 69 + 27w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 27w = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 27w = 0 + -69 27w = 0 + -69 Combine like terms: 0 + -69 = -69 27w = -69 Divide each side by '27'. w = -2.555555556 Simplifying w = -2.555555556
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